Question

Which shows the graph of the solution set of y < x – 2?

Answer 1

i did the test it is the third one

Answer 2

case A)

If the inequality is

`y< x-2` ------> inequality

we know that

The solution of the inequality is the shaded area below the dotted line

The equation of the line is
`y= x-2`

The slope is positive and equal to
`m=1`

The x-intercept is the point
`(2,0)` -----> the value of x when the value of y is equal to zero

The y-intercept is the point
`(0,-2)` -----> the value of y when the value of x is equal to zero

therefore

the answer in the attached figure N 1

case B)

If the inequality is

`y< (1)/(3) x-2` ------> inequality

we know that

The solution of the inequality is the shaded area below the dotted line

The equation of the line is
`y=(1)/(3)x-2`

The slope is positive and equal to
`m=(1)/(3)`

The x-intercept is the point
`(6,0)` -----> the value of x when the value of y is equal to zero

The y-intercept is the point
`(0,-2)` -----> the value of y when the value of x is equal to zero

therefore

the answer in the attached figure N 2